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Finding the Fourth Proportional to 502,088.44, 692,894.10 and 275,738.80

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Solution

The fourth proportional to 502,088.44, 692,894.10 and 275,738.80 is: 380,526.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,088.44 : 692,894.10 = 275,738.80 : x
  2. Step 2: Convert to fraction form
    502,088.44/692,894.10 = 275,738.80/x
  3. Step 3: Cross multiply
    502,088.44x = 692,894.10 × 275,738.80
  4. Step 4: Simplify right side
    502,088.44x = 191,057,787,661.08
  5. Step 5: Solve for x
    x = 191,057,787,661.08/502,088.44
  6. Step 6: Final answer
    x = 380,526.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.